ITERATION PROCEDURE FOR DETERMINING APPROXIMATE SOLUTION FOR MOTION OF SIMPLE PENDULUM
Pages 103-108
Vasile Marinca, Nicolae Herisanu
Abstract
In this paper, we apply a perturbation technique coupling with the iteration method for determination of approximate solution of a simple pendulum. This method valid for small as well as large values of oscillation amplitude can be applied for non-linear oscillations with single-degree-of-freedom. We compare the approximate period obtained by our procedure with the exact known period and the approximate solution with the numerical integration results obtained using a fourth order Runge-Kutta method.